11552165361 has 27 divisors (see below), whose sum is σ = 18346949803. Its totient is φ = 6999162720.

The previous prime is 11552165353. The next prime is 11552165369. The reversal of 11552165361 is 16356125511.

The square root of 11552165361 is 107481.

It is a perfect power (a square), and thus also a powerful number.

11552165361 is a `hidden beast` number, since 1 + 15 + 521 + 65 + 3 + 61 = 666.

It is an interprime number because it is at equal distance from previous prime (11552165353) and next prime (11552165369).

It can be written as a sum of positive squares in only one way, i.e., 9899255025 + 1652910336 = 99495^2 + 40656^2 .

It is not a de Polignac number, because 11552165361 - 2³ = 11552165353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11552165369) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3545245 + ... + 3548501.

Almost surely, 2^11552165361 is an apocalyptic number.

11552165361 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11552165361 is the 107481-st square number.

11552165361 is the 53741-st centered octagonal number.

It is an amenable number.

11552165361 is a deficient number, since it is larger than the sum of its proper divisors (6794784442).

11552165361 is an frugal number, since it uses more digits than its factorization.

11552165361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6542 (or 3271 counting only the distinct ones).

The product of its digits is 27000, while the sum is 36.

Multiplying 11552165361 by its sum of digits (36), we get a square (415877952996 = 644886²).

The spelling of 11552165361 in words is "eleven billion, five hundred fifty-two million, one hundred sixty-five thousand, three hundred sixty-one".